Jim has the following tiles in a bag: A, A, B, B, B, C, C
Jim takes a random tile.
PART A.) Calculate the probability that the tile that he takes
will be a C.
Write your answer as a fraction in simplest form.
PART B.) Calculate the probability that the tile he takes is a B OR C.
Write your answer as a fraction in simplest form.

5/7

Step-by-step explanation:

If the tiles are A, A, B, B, B, C, C, then there are 7.

That makes the probability of an A: 2/7

The probability of an B: 3/7

And the probability of an C: 2/7

The probability of a B or C combines 2/7 + 3/7 so: 5/7

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15